Lady Musgrave Island is a 14 hectares coral cay on Australia's Great Barrier Reef, with a 1,192 hectares surrounding reef. The island is the second southernmost island in the Great Barrier Reef chain of islands, the first being Lady Elliot Island. The Island is named after Lady Lucinda Musgrave, the wife of Sir Anthony Musgrave, a colonial governor of …Lady Musgrave Island is a 14 hectares coral cay on Australia's Great Barrier Reef, with a 1,192 hectares surrounding reef. The island is the second southernmost island in the Great Barrier Reef chain of islands, the first being Lady Elliot Island. The Island is named after Lady Lucinda Musgrave, the wife of Sir Anthony Musgrave, a colonial governor of Queensland.